Complete Embedded Minimal Surfaces of Finite Total Curvature
نویسندگان
چکیده
2 Basic theory and the global Weierstrass representation 4 2.1 Finite total curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2 The example of Chen-Gackstatter . . . . . . . . . . . . . . . . . . . . . . . . 16 2.3 Embeddedness and finite total curvature: necessary conditions . . . . . . . 20 2.3.1 Flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2.3.2 Torque . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.3.3 The Halfspace Theorem . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.4 Summary of the necessary conditions for existence of complete embedded minimal surfaces with finite total curvature . . . . . . . . . . . . . . . . . . 31
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